Stone game, C/C++ Programming

Assignment Help:
A game is played with three piles of stones and two players. At her turn, a player removes one or more stones from the piles. However, if she takes stones from more than one pile, she must remove the same number of stones from each of the selected piles.
In other words, the player chooses some N>0 and removes:
? N stones from any single pile; or ? N stones from each of any two piles (2N total); or ? N stones from each of the three piles (3N total).
The player taking the last stone(s) wins the game.
A winning configuration is one where the first player can force a win. For example, (0,0,13), (0,11,11) and (5,5,5) are winning configurations because the first player can immediately remove all stones.
A losing configuration is one where the second player can force a win, no matter what the first player does. For example, (0,1,2) and (1,3,3) are losing configurations: any legal move leaves a winning configuration for the second player. Consider all losing configurations (xi,yi,zi) where xi = yi = zi = 100. We can verify that S(xi+yi+zi) = 173895 for these.
Find S(xi+yi+zi) where (xi,yi,zi) ranges over the losing configurations with xi = yi = zi = 1000.

Related Discussions:- Stone game

Program to display asterisks in the shape of a plus sign, Write a program c...

Write a program called plus that will display asterisks in the shape of a plus sign which has the height and width specified by the user. You must only allow entry of an odd numb

Loops, how to get plus asterisk pattern

how to get plus asterisk pattern

Write a program to add co-ordinates of the plane, Write a program to add co...

Write a program to add co-ordinates of the plane The class having x and y co-ordinates. Create three objects. Use a constructor to pass one pair of co-ordinates and a funct

What happens if you make call "delete this;"?, The code contains two built-...

The code contains two built-in pitfalls. First one, if it executes in a member function for an static, extern or automatic object, the program will possibly crash as soon as the de

Program, program to check whether a given point lies inside a rectangle or ...

program to check whether a given point lies inside a rectangle or not

COMPILER DESIGN, aj is a newbie to the programming and while learning the p...

aj is a newbie to the programming and while learning the programming language he came to know the following rules: - Each program must start with ''{'' and end with ''}''.

Plugging the memory leak, Problem #1: plugging the memory leak. When you em...

Problem #1: plugging the memory leak. When you employ the "normal" new operator, for example Foo* p = new Foo(), the compiler generates some special code to manage the case while t

Saha, find the minimum total number of shelves

find the minimum total number of shelves

Decodethecode.h, decodes the sending smuggler string from the number format...

decodes the sending smuggler string from the number format into plain text

Program to determine the number is prime or not, Write a function to determ...

Write a function to determine whether a number is prime: it will return true if the input is prime and false otherwise. Use it to see whether -7 is prime.

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd